Halving in some genus 2 curves over binary fields
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We give a method to compute the halving of a divisor in the Jacobian variety of a genus 2 curve in characteristic 2. We present explicit halving formulae for each possible divisor class for some curves (those with h (x)= x), detailing all the process to obtain them. We improve the fastest known formulae for some divisor classes in the studied type of curves.
Is part ofIEEE Latin America Transactions, 2016, vol. 14, núm. 6, p. 2885-2889
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